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Murljashka [212]
2 years ago
12

Which number line shows all the values of x that make the inequality -3x + 1 < 7 true

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
8 0

After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.

*whenever you divide or multiply with a negative number reverse/flip the sign

< or > signs will always have an open circle

≥ or ≤ signs will have a closed/filled in circle

TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.

< would have the arrow on the number point

this way: <-

or > which would have the arrow on the number line point this way: ->

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Answer:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

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Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

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3 years ago
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